Variable preconditioning for strongly nonlinear elliptic problems

DOI10.1016/j.cam.2018.10.004zbMath1414.65033OpenAlexW2897143149MaRDI QIDQ1713163

János Karátson, Benjámin Borsos

Publication date: 24 January 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/102130/1/varprec-strong-revised.pdf

zbMATH Keywords

iterative methodsnonlinear elliptic problemsquasi-Newton methodvariable preconditioning

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications of operator theory to differential and integral equations (47N20) Preconditioners for iterative methods (65F08)

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Cites Work

• The absolute-value estimate for symmetric multilinear forms
• On the Lipschitz continuity of derivatives for some scalar nonlinearities
• On the updating and assembly of the Hessian matrix in finite element methods
• On a class of electrorheological fluids
• Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems
• Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space
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